报告题目:On involutive Yang-Baxter groups
报告人:Adolfo Ballester-Bolinches (上海大学、瓦伦西亚大学)
报告时间:2025年9月27日 上午9:00-9:40
报告地点:教2-327
主办单位:南京邮电大学理学院
邀请人:蒋琴会,邵长国
报告内容:
A group is called an involutive Yang-Baxter group if it is isomorphic to the permutarion group if an involutive, non-degenerate set-theoretic solution of the Yang-Baxter equation. The main goal of this talk is to investigate finite soluble groups whose Sylow subgroups have nilpotency class at most two, addressing a Cedó and Okninski's qyestion of whether such groups are involutive Yang-Baxter groups.
报告人简介:
A. Ballester-Bolinches 是西班牙瓦伦西亚大学(University of Valencia )数学学院的教授。他知识渊博、思维敏捷,研究领域涉及有限群、无限群、矩阵论、码论、自动机代数理论、融合系理论及其群的应用等多个分支,是目前国际群论界最活跃的人物之一,是多次国际群论会议的组织者与会议特邀报告人,目前已经主持并完成了西班牙政府及欧盟的科研基金项目11项, 在国际一流数学杂志上发表论文近300篇(绝大部分被SCI收录),其中仅在国际代数学顶级期刊《Journal of Algebra》(美国)上就高达47篇, 国际群论最好的杂志 《Journal of Group Theory》(德国)发表了10篇。出版专著2部,近来在Advances in Mathematics, Transsaction of AMS, 引领 skew left braces的研究,他发表的论文数量多、质量高、思想深、技巧强, 是国内外群论学者关注的对象。
报告题目:On left nilpotent skew braces of class 2
报告人:Vicent Perez-Calabuig(南通大学、瓦伦西亚大学)
报告时间:2025年9月27日 上午9:40-10:10
报告地点:教2-327
主办单位:南京邮电大学理学院
邀请人:蒋琴会,邵长国
报告内容:
In this talk, a detailed study of left nilpotent skew braces B of class 2will be presented. We shall see that in the case that B is of nilpotent type, then it is centrally nilpotent; in particular, if B is of abelian type then it is right nilpotent of class~$3$. This opens the door to know much more about the inner structure of left nilpotent skew braces of class 2 and its associated solution of the Yang-Baxter equation. In the abelian type case, we shall delve into the description of these finitely generated braces.This is joint work with A. Ballester-Bolinches, L.A. Kurdachenko and H. Meng.
报告人简介:
Vicent Perez-Calabuig教授在A. Ballester-Bolinches教授的指导下于2018年获得博士学位,研究方向是有限群论及其应用、半群、Yang-Baxter方程。目前已经发表论文39篇,被引用166次。